A:
Positive:
1 x 31325031111 x 2847730161 x 5135251107 x 2927573671 x 4668411177 x 2661434363 x 717976527 x 47993
Negative:
-1 x -313250311-11 x -28477301-61 x -5135251-107 x -2927573-671 x -466841-1177 x -266143-4363 x -71797-6527 x -47993
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 313,250,311, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 313,250,311 | |
| -1 | -313,250,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,250,311.
Example:
1 x 313,250,311 = 313,250,311
and
-1 x -313,250,311 = 313,250,311
Notice both answers equal 313,250,311
With that explanation out of the way, let's continue. Next, we take the number 313,250,311 and divide it by 2:
313,250,311 ÷ 2 = 156,625,155.5
If the quotient is a whole number, then 2 and 156,625,155.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 313,250,311 | |
| -1 | -313,250,311 |
Now, we try dividing 313,250,311 by 3:
313,250,311 ÷ 3 = 104,416,770.3333
If the quotient is a whole number, then 3 and 104,416,770.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 313,250,311 | |
| -1 | -313,250,311 |
Let's try dividing by 4:
313,250,311 ÷ 4 = 78,312,577.75
If the quotient is a whole number, then 4 and 78,312,577.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 313,250,311 | |
| -1 | 313,250,311 |
If you did it right, you will end up with this table:
| 1 | 11 | 61 | 107 | 671 | 1,177 | 4,363 | 6,527 | 47,993 | 71,797 | 266,143 | 466,841 | 2,927,573 | 5,135,251 | 28,477,301 | 313,250,311 |
| -1 | -11 | -61 | -107 | -671 | -1,177 | -4,363 | -6,527 | -47,993 | -71,797 | -266,143 | -466,841 | -2,927,573 | -5,135,251 | -28,477,301 | -313,250,311 |
Here are some more numbers to try:
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